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• Hid-tools

Vl-subhid-p

Signature

(vl-subhid-p inner outer) → *

Arguments

inner — Guard (vl-hidexpr-p inner).

outer — Guard (vl-hidexpr-p outer).

Definitions and Theorems

Function: vl-subhid-p

(defun vl-subhid-p (inner outer)
 (declare (xargs :guard (and (vl-hidexpr-p inner)
                             (vl-hidexpr-p outer))))
 (let ((__function__ 'vl-subhid-p))
   (declare (ignorable __function__))
   (if
    (vl-hidexpr-equiv inner outer)
    (vl-hidexpr-case outer
                     :end t
                     :dot (stringp (vl-hidindex->name outer.first)))
    (vl-hidexpr-case outer
                     :dot (vl-subhid-p inner outer.rest)
                     :otherwise nil))))

Theorem: vl-subhid-p-of-vl-hidexpr-fix-inner

(defthm vl-subhid-p-of-vl-hidexpr-fix-inner
  (equal (vl-subhid-p (vl-hidexpr-fix inner)
                      outer)
         (vl-subhid-p inner outer)))

Theorem: vl-subhid-p-vl-hidexpr-equiv-congruence-on-inner

(defthm vl-subhid-p-vl-hidexpr-equiv-congruence-on-inner
  (implies (vl-hidexpr-equiv inner inner-equiv)
           (equal (vl-subhid-p inner outer)
                  (vl-subhid-p inner-equiv outer)))
  :rule-classes :congruence)

Theorem: vl-subhid-p-of-vl-hidexpr-fix-outer

(defthm vl-subhid-p-of-vl-hidexpr-fix-outer
  (equal (vl-subhid-p inner (vl-hidexpr-fix outer))
         (vl-subhid-p inner outer)))

Theorem: vl-subhid-p-vl-hidexpr-equiv-congruence-on-outer

(defthm vl-subhid-p-vl-hidexpr-equiv-congruence-on-outer
  (implies (vl-hidexpr-equiv outer outer-equiv)
           (equal (vl-subhid-p inner outer)
                  (vl-subhid-p inner outer-equiv)))
  :rule-classes :congruence)